Question

Solve 5^x + 5 = 9^x

anyone help please :(

Answer 1

first u subtract 9x-5x then u should get 5=4x
then u divide and u get 5/4=x

Answer 2

x ≈ –3.63

x ≈ –0.28

x ≈ 0.07

x ≈ 13.69

those are my answers

Answer 3

r u sure it has to be one of those?

Answer 4

positive it is solving exponential equations with unequal bases

Answer 5

omg im so sorry I wrote the question wrong it is 5^x+5=9^x

Answer 6

oh now it makes sense lol. ok let me try again

Answer 7

it is
\[\large 5^{x+5}=9^x\] maybe ?

Answer 8

yes that's it

Answer 9

then start with
\[(x+5)\ln(5)=x\ln(9)\] and do some algebra to solve for \(x\)

Answer 10

don't be confused by the \(\ln(5)\) and \(\ln(9)\), they are just numbers

Answer 11

im so confused could you help me out

Answer 12

multiply out and get
\[x\ln(5)+5\ln(5)=x\ln(9)\] subtract \(x\ln(5)\) and get
\[5\ln(5)=x\ln(9)-5\ln(5)\] factor out the \(x\) for
\[5\ln(5)=(\ln(9)-\ln(5))x\] and finally divide to get
\[\frac{5\ln(5)}{\ln(9)-\ln(5)}=x\]

Answer 13

i understand what you did but i don't understand the concept of ln

Answer 14

so i wouldn't know how to divide that :(